Lesson 4.1 Radian &amp; Degree Measure

1 / 9

# Lesson 4.1 Radian & Degree Measure - PowerPoint PPT Presentation

Lesson 4.1 Radian &amp; Degree Measure. Parts and Types of Angles. Terminal &amp; Initial. Positive &amp; Negative. Coterminal A positive and negative angle where. 30 o &amp; ______. 120 o &amp; ______. Investigate Draw a circle and make up a number for the radius.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' Lesson 4.1 Radian & Degree Measure' - rusty

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Lesson 4.1Radian & Degree Measure

Parts and Types of Angles

Terminal & Initial

Positive & Negative

Coterminal

A positive and negative angle where

30o & ______

120o & ______

Investigate

• Draw a circle and make up a number for the radius.
• Estimate a sector where the arc length would be equal to the radius
• Find the circumference of the circle.
• Use the formula below to find the degree measure of the arc
• Then, what is the measure of the central angle of your sector?
• Write your results in the table:

The angle size when the arc length equals the radius of a circle

Question: How many radians to equal 180o? 360o?

Full revolution:

The units of an angle are in degrees or radians

Converting

Units have

to cancel

Examples

Sketch in standard position.

Find 2 coterminal angles to

Arc Length and Speed

Arc Length =

Linear Speed =

Speed = Distance over time

Angular Speed =

Example

Find the angle in degrees

31 in.

12 in.